{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib import pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qyCh+7vEzRbIWMc1BTO3GDRxD3rBhF3S6DDtKQXTctXBoKNy8qWl4UtJkIpBM4rvv1ETw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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1faee807a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n",
    "C, S = np.cos(X), np.sin(X)\n",
    "\n",
    "# Plot cosine with a blue continuous line of width 1 (pixels)\n",
    "plt.plot(X, C, color=\"blue\", linewidth=1.0, linestyle=\"-\")\n",
    "\n",
    "# Plot sine with a green continuous line of width 1 (pixels)\n",
    "plt.plot(X, S, color=\"green\", linewidth=1.0, linestyle=\"-\")\n",
    "\n",
    "# Set x limits\n",
    "plt.xlim(-4.0, 4.0)\n",
    "\n",
    "# Set x ticks\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "          [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "# Set y limits\n",
    "plt.ylim(-1.0, 1.0)\n",
    "\n",
    "# Set y ticks\n",
    "plt.yticks([-1, 0, +1], [r'$-1$', r'$0$', r'$+1$'])\n",
    "\n",
    "plt.xlim(X.min() * 1.1, X.max() * 1.1)\n",
    "plt.ylim(C.min() * 1.1, C.max() * 1.1)\n",
    "\n",
    "ax = plt.gca()  # gca stands for 'get current axis'\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "t = 2 * np.pi / 3\n",
    "plt.plot([t, t], [0, np.cos(t)], color='blue', linewidth=2.5, linestyle=\"--\")\n",
    "plt.scatter([t, ], [np.cos(t), ], 50, color='blue')\n",
    "\n",
    "plt.annotate(r'$cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$',\n",
    "             xy=(t, np.cos(t)), xycoords='data',\n",
    "             xytext=(-90, -50), textcoords='offset points', fontsize=16,\n",
    "             arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "plt.plot([t, t],[0, np.sin(t)], color='red', linewidth=2.5, linestyle=\"--\")\n",
    "plt.scatter([t, ],[np.sin(t), ], 50, color='red')\n",
    "\n",
    "plt.annotate(r'$sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n",
    "             xy=(t, np.sin(t)), xycoords='data',\n",
    "             xytext=(+10, +30), textcoords='offset points', fontsize=16,\n",
    "             arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "for label in ax.get_xticklabels() + ax.get_yticklabels():\n",
    "    label.set_fontsize(16)\n",
    "    label.set_bbox(dict(facecolor='white', edgecolor='None', alpha=0.65))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x1faee988048>"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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3sGiRsGGD1WnKj2+/hfXrbERfEJi9/xNco4Ad7NltM/cC/ES5LwCpqTDzucLefzX/3ezF\nXWLO30tQeD4TJgTuicqd/un9V8gmqlXg9v5PCG981DUKMPcC/EK5LwCzZ0N6qlChc2D3/k+whbpG\nAV9+Kaxda3Ua/7d0KaxdE7jX/k8lAjEX7WDvbhsffGB1GqM45boApKUV9v4bHfHrrR7dLabD3wSF\n5zNpkjlhlcU/vf+YbL/e6tHdwhsdJbR6KpMmqxkF+LhyXQBefBHSjgfuzJ/TsYUWENlhD199Jaxb\nZ3Ua//X997B6len9n+q/9wLEjAJ8XLktAGlpMONZJbzhUdP7L0JMe9coYPJkc+I6G67evxIck2Ou\n/RchvFECYWYU4PPctSPYGyKSICKbT/N1EZHZIrJLRP4UkXbuaPdM5syB1BTT+z+dE/cCFi82uzqd\njf/7P1i1UlwzfwJgzZ/SEoHoTjvZs9s8HezL3DUCeAvodYav9wYaF74NAl5xU7tFSk+HGTMLe/8B\ntOZPaZ24F2BGAaXzP73/1uba/+mENz5KWPU0Jj9pRgG+yl1bQi4Dks9wyDXAO+qyEogVkRruaLso\nL70Ex03vv1gnRgHmuYDS+ekn+H2FENXR9P7PxDUKcK0RZJ4OLrmEBNfCld4Q5J1mqAWc3FU6WPi5\nw+5uKCMDZs5Uzmmbxn+uiAAi3N1EuZLbMIcPNjgYMjKPsbO89Fvn58aNqkJ0JeHGW/IJCvFYP6Zc\n0Jbw6fpsxo4PJqp5Ana71Yl835xJFdjwawT79gnh4Z5ty1sFoKh9t4q87iAig3BdJqJu3bqlbig8\nHGbPFpo1q0C7dh6/1VAu1ImHiRPDue/5teZhuWLk7K/E0bU1mT0bHhp4ntVx/MJl4XDDDXDvxKNE\nNjcbVJ9JQWo4hxd3Y/B9nj/5g/dmAR0E6pz0cW2gyN8EVZ2nqh1UtUNcXFypG7Lb4eabwZz7S27Y\nMIiKcXJ8RWOro/i8tN+aUK26cu+9VifxH9ddB81bOElb0Rg1V8zOKHVVQ2w2YdQo77TnrQKwGLi9\ncDbQhUCqqrr98o9xdmJjYeTDNrJ3VCfvaIzVcXxWzv5KZO+vzJjRQliY1Wn8h80GkybayDsWRda2\nmlbH8VkFaWFkbarDwDvgLC5+nBV3TQP9EPgdaCoiB0XkbhEZLCKDCw/5GtgD7AJeA4a4o13DfYYP\nh6hoMwo4k7QVjalaTRk0yOok/qdvXzi3uZO0380o4HRSVzZEEMaNK+qKuWe45R6Aqg4o5usKPOCO\ntgzPiI2FEQ/bmDy5OnkJ0QG9bHZRcg5UJHtfFZ5+Dq9cmy1vbDaYOMFGv35RZG2vQeS55gLAyVy9\n/7rcNRDq1fNeu+X2SWCj9IYPh8goJ6m/mVHAqdJWNCGuqnLffVYn8V833ABNmhXeCzCPnvyPtFXe\n7/2DKQDGSSpWdI0CsnbUIC8h2uo4PiPnQEWy/67C6FFChJlVfNZsNpg80UZeUjRZ28z02RMK0kPJ\n/LMuA+/wbu8fTAEwTmFGAf+W+pur9z94cPHHGmd2ww3QuKkZBZwsbWUjS3r/YAqAcYpKlWD4MHGN\nAhLNKCBnfyVy9lVh7BjT+3cHu/2kUcD26lbHsVxBeiiZf7h6//Xre799UwCMfxkxQoiINKMAcPX+\nq1Zzmmv/bnTjjdCoiZO0FU0CfhSQtqohItb0/sEUAKMI/4wCttcgLzHK6jiWydlfiZz9lRk31mZm\n/riR3Q6TJtjIS4wma0fgjgJcvf9zuON2a3r/YAqAcRqBPgpQhdRfXb1/89Sv+/XrBw0bO0n7LXDv\nBVg18+dkpgAYRapcGYYNPXEvIPBGATn7K5NzoDKPjzO9f0/47ygghuwAHAWc6P3ffhs0aGBdDlMA\njNMaOdJ14zM1wJ4OVnWt+VO9hun9e1L//tCwUWDOCEpb1RBUePxx63r/YAqAcQaVKwfmvYCcfZXJ\nOVCJx8fZzJo/HmS3w4TxNnITYsjeWc3qOF5TkBb2z7V/K3v/YAqAUYwRIwioUYAqpC1vRs1ayj33\nWJ2m/BswABo0DKwZQcd/bYJdhIkTre39gykARjH+uRcQIKOA7J3VyImPZfIkITTU6jTlX1AQPDnZ\nRu7RGLK2lv+VQvOPRZK1uTYPPCBeW/HzTEwBMIo1ciRERcHx5U2tjuJR6oTU5c1o1NjJHXdYnSZw\n9O8PLVspab82RR3W94o96fjyJoSFw5gxVidxMQXAKFblyjBmtJC9szo5BytaHcdjMrfUJi8pimlT\nbQR5a688A5sNnpku5KVEkPGHD3SLPST3SAxZ22vyyEihalWr07iYAmCUyLBhULWak9RfmpXLa7Va\nYCPttya0a6/07Wt1msDTqxdc3EVJ/70xzrzyuXFw6vKmxFZURo60Osl/mQJglEhkpOtabc7BSmTv\nKn8zNtI31CU/NZxnpgtSvq9C+CQR1yggPyOUtLUWPRbrQTn7K5G9pypjxwgVKlid5r/ctSNYLxHZ\nLiK7RGR0EV8fKCKJIrKx8M3Mr/BDd90FjRo7SV3WDHWWn7OkMzeI9FWN6X6ZctllVqcJXJ06wdVX\nKxmrG+LICrY6jtuowvGfmlOzlvLgg1an+V9lLgAiYgdeAnoDzYEBItK8iEM/VtW2hW+vl7Vdw/uC\nguCZ6TbykqLI2FTb6jhuk7qiEY6sYJ6ZXn6Kmr+aOlXQfHu5mnacubkWuUcq8Mx08bmnyt0xAugI\n7FLVPaqaB3wEXOOG1zV80LXXQscLlPTfmuLM9f9rtfkpEaSvq88dd0D79lanMZo3h3vvhYwN9chL\n8v9px848O2nLm9G+g5MBZ9w41xruKAC1gAMnfXyw8HOnul5E/hSRhSJS53QvJiKDRGStiKxNTEx0\nQzzDnUTgheeF/PRQUlc2sjpOmaX8dC7hYcKUKab37yuefFKIioKUH5v7/YSDtNUNyE8P44Xnbdh8\n8I6rOyIV9Zdz6v+2L4F6qtoa+AF4+3QvpqrzVLWDqnaIi4tzQzzD3S68EG6/XclY24D8ZP/dJSX7\n78pk76zO4+OEGmaHQp8RFweTJwk5e+PI3u0j8yXPQkF6KOmrG3LjjcpFF1mdpmjuKAAHgZN79LWB\n+JMPUNVjqppb+OFrgBls+7lp04TwMCHlx6Ju9/g+dQqpP7WgTl0nDz9sdRrjVA88AI2bOEn9qbnf\nPhx2fFkz7GJjug/fW3JHAVgDNBaR+iISAvQHFp98gIic3L+6GtjqhnYNC9WoARMnCNm7q5Hlh720\njD/qkJsQzXPPmgXffFFwMLzwvI285Ei/nBaac7AimZtrM+JhsWyzl5IocwFQ1QLgQeA7XCf2T1R1\ni4hMFpGrCw8bKiJbROQPYCgwsKztGtYbOtS1nG/qj83RAh+8wHkajswQ0pY3o8slyvXXW53GOJ3e\nvaF3b9fDYQXp/rMwkzqE40tbUbO2k8cftzrNmYn68F2WDh066Nq1a62OYZzBt9+6/lBjL9lGhU67\nrY5TIklftSF3Ry3+/EM491yr0xhnsmsXtGihBNU/Qty1662OUyJpq+uT8lNzPv/cNWvO20Rknap2\nKMmx/tNtM3xSr17Qt6+StqIJ+cmRVscpVvbflcncUpvRo8zJ3x80agTjx7tWo83a5fuXGgvSwkj7\nrSl9+ijX+MFkeFMAjDKbM0eIihSSv2vl09P2nPk2jn/finr1lbFjrU5jlNSjj0Kzc52k/tDSp9cJ\nUoXk71oRbLcxZ45/LCliCoBRZjVqwHPPCjn7K5Pxx2kf8bDc8eVNyUuO5LV5vvdEpnF6ISEw/3Ub\neanhpPzczOo4p5W5uTbZe6ryzHTfvvF7MlMADLe46y7odqmS+nNz8o/73tk150BF0tfWZ/BgpUcP\nq9MYpdW5Mwwf7npCOHtvFavj/EtBeiipP7bgoouVBx6wOk3JmQJguIUIvPWmEB5iJ3lJW9RpdaL/\ncubZSfmmLeeco8yY4QfjcqNIU6a4ng1I+bYNjhzf2bBBFZK/bY0dO2+9KT75xO/p+FFUw9edcw7M\nfUXIOViJtFUNrY7zj+QfWpB/PJx337ER5f/LywSs8HD44H0bjsxQkpe29Jn7Telr6pO9pyrPPSs0\n8rPVUUwBMNzq5puhXz8l9bcm5B6KtToOGZtqkbmpDuPGCV26WJ3GKKsOHWDSRCFray2f2D0s93AF\nji9rxrXXKvffb3Wa0jMFwHArEZg7V6hbB44tao8jw7oHePISo0j5vhWXdFUmTrQshuFmY8dCz8uV\n4//XgtwjMZblcOQEkfxVO2rUgPnz/WPWz6lMATDcLjYWFi+yYcsPJWlxO0vWcnHkBJG8qD2VYm18\n9KFg993Zg0Yp2WzwwftCtaqQvKgDjmzvbx6jTiFpUTuc6eEs+NhGpUpej+AWpgAYHtG6NbwxX8g5\nUInkH1p49XqtOoSkL9rjSItk4QKz0md5VKUKfPapDbLCSPqsg9eXIkn58Vxy/o7j1blC585ebdqt\nTAEwPObmm2HUKMjYeA6pv3vn7pgqHPuuFTn7qjD/daFrV680a1jgwgvhnXdckw6SlrTxWicjbd05\npK+rz8MPK3fd5Z02PcUUAMOjpk6F225TUpc3JX2jZx8SU4XjPzcjc1MdnngCbr/do80ZPqBfP3jm\nGcjaVpOU//P8BjIZf9Ym5YeWXH11+ZhS7DuTaY1yScR1gywpSfnm21aAEN12v9vbOXHyT1vdkPvv\nVyZN8v8/TqNkHnkEDh9WZs2qjzqFSj23eOSGbOZfNTn2bWt6Xq588kn5uK9kRgCGxwUHw6efCr17\nu9ZKSV3p3mcE1Cmk/NCCtNUNGTJEeekl/5yRYZwdEXj2WeGRR5SMDfVI/raVWyceqLpW+Ez6qi1d\nusAXnwuh/rM69RmZAmB4RXg4LPpCGDBAOf5LM4590wpnftl//RzZwSR80pH09fUYORK/WYTLcC8R\neOYZ4YknIOPPuiR8fAGOzJAyv646XJ2LlJ+a0/c6+O5bIcJ/d0H9F7cUABHpJSLbRWSXiIwu4uuh\nIvJx4ddXiUg9d7Rr+JfgYHjvPWHs2MI/0ncvJi/p7B/Nzf67MgnvXowjvjJvvgkzZ2JO/gFMBCZP\nhvffB02sxNF3upRp3aC8xCiOvncR6evr8eijsGBB+VtEsMwbwoiIHdgB9MS1P/AaYICq/nXSMUOA\n1qo6WET6A9epar/iXttsCFN+ffcd3HyLkpKiRJ23jwoX7cQenl+i7y1IC+P4sqZkbqlN/QZO3n/P\nRqdOHg5s+JU//oC+1zvZs9tGRNN4Kl66jaAK2SX6XkdWMGlrG5CxpgGxFeC1eTb69vVwYDcqzYYw\n7igAnYCJqnpF4cdjAFR16knHfFd4zO8iEgQcAeK0mMZNASjfjh6FJ55Q5s8HCXYQ3jSeyJaHCK2d\n/K+evDpczxRk/FGX7B01sNlg9Chh3DjKXa/McI/cXJgxA556SsnLh7CGR4luu5+wuseQoP9drVAV\n8o7GkLmlFll/noMjz06/fsqLLwpxcRb9AGfJ2wXgBqCXqt5T+PFtwAWq+uBJx2wuPOZg4ce7C49J\nOtNr+3sBcDhgzRpYsQJ27oSUFAgKgmrVoEULuPRS/GbdcE/asgWmT1cWfgrZWYI9tICgKunYwvNA\nwZkVRkFSFI58O9Exyn2DhAcfdC0+F8hUYetWWLYM/voLkpJcn4uLg6ZNoUsXaNXKXBbbvx9efhnm\nveYkJdmGLdhBcOUMbJE5IKDZIRQkR1GQHYw9SLnpRhg3TmjRwurkZ8fbBeBG4IpTCkBHVX3opGO2\nFB5zcgHoqKrHini9QcAggLp167bft29fmfJZISkJXngBXn/NwZGjrrlilSJSqRyRjEPtxKdVIyff\nNY3gos4O7h9i54YbKDczC85WZiYsXgzLl8OOHUpCEghQvRo0by506wY9ekCk7+886VGZmfDOOzD7\nBQfbtrt+v6LDMqkamYSIcjQjjvQc13+khg0cDB1m5+67zX+33FxYuhR+/hm2bFGOHAWnQuVK0LSJ\ncNFF0KcPVK5sddKyMZeALJKdDU8+6frDzMyyc3XTrxnQciGX1ltGtajEf45zqrAtqQlLdlzBvA13\nsetYferXK2D2i0FceaWFP4Dh05xOmD8fRo9ykJxip0PNDdxz3ttc3vBH6sXu+6enrwr7U+vwf3u7\n8ubGW/kKnbO1AAAgAElEQVR1fycqVXQwYaKdBx/Er9arN0rP2wUgCNdN4MuAQ7huAt+sqltOOuYB\noNVJN4H7qupNxb22PxWA1avh9lsL2L4ziAEtFzCuy0xaVN1W7Pc5Vfh2Vw8e+X4KWxObcO01yuvz\nxe97IYZ77doFd93pYPmvdi45ZwVTuk+kc51VJbq8s+JARyb9Moalu7vT+UIH89+008x3d1Y0ysir\nBaCwwT7A84AdeENVnxaRycBaVV0sImHAu8B5QDLQX1X3FPe6/lIAXnwRHn7YSc2oI8y/agg9G/5U\n6tfIcwTz/MohPPHz49SsaePzRUG0beuBsIbfWboU+t3kgLxMZvYYy53nvYdNSvd3qwrv/dmPYUtn\nkEcUH3xo5+qrPRTYsJTXC4Cn+HoBcDhg5EjX9f5rmi7h7WsHUyEsrUyvufpQO65f8AHHcqvy/gd2\nrrvOTWENv/TCCzBihNIibiuL+vWnfsWy3RM7lFaDaz/5kHXxbZk+XXjkEXOTuLwpTQEwVwPPUkEB\nDOivvPACDL/gJT696dYyn/wBOtZaz7p7L6Zt3HpuvNHJxx+7Iazhl6ZMcW2Efk2Tr1hxV48yn/wB\nasUc5pc7enPDuV/w2GMwbhw+s7Wi4X2mAJwFhwMG3qEsWCjM6Pk4s3qNxW5z3y7oVSOT+O6Wa7mo\n9u/cfLPy3ntue2nDT0yZ4jo539r6IxbceDtRIZlue+2I4Gw+uuFO7mv/BlOnYnZLC2CmAJSSKtx/\nP7z/gfB098k80vlFj7QTHZrB1zffQNdzfmXgQCfffOORZgwfNGfOf0/+b11zv1s7FyfYRHn5PyO4\nq+27TJ4M06a5vQnDD5gCUErTpsFrr8HYi2cytsuzHm0rMiSLRf3606rqFm660cGGDR5tzvABS5bA\nsGHKNU2XeOzkf4JNlHlXDaV/y4WMGQMLFnisKcNHmQJQCosWuTakvrnVJzzV/UmvtBkdmsGSATdQ\nMfgo/+nj4NAhrzRrWGDjRtdsn/Oq/8H7fe/x6Mn/BLvNyZvXDKFTndXccbsDH55zYXiAKQAltGkT\n3HKzg/NrbeD1qx7y6syJmtFH+HpAX9JScrnpRgf5JVszzfAjKSlw7TUOKgYnsLh/PyJDsrzWdlhQ\nLl/0G0C18HiuvsrB0aNea9qwmCkAJZCZCTfe4CDanswX/foTHpzj9Qwtq27l9SsfZMXvdsaM8Xrz\nhgepwp0DncQfcrLwhluoGX3E6xmqRiaxqF8/Uo4VcPttTpyeH3wYPsAUgBIY+pCyY6fwwXV3WvLH\neUL/lp/ywPnzePZZ+Pxzy2IYbjZrFixabGNGj8e5oPY6y3K0rraF2Vc8ytLvbUyfblkMw4tMASjG\nBx/AG28K4y6eyaX1l1sdh2cvH0eHWhu5524Hhw9bncYoq/XrYdQoJ33PXczQC+ZaHYd72r1N/5YL\neeIJJ7/9ZnUaw9PMk8BncPAgtGjuoFXFtfx8R2+CbA7LspxsW1Jjzpv3G917BPPVEpt5ktNP5eZC\n+3YOUg4msWnwBVQKT7E6EgBpudG0nbcCe8Wa/PFnULnaAjEQmCeB3UAVBt3rpCA3j3euHeQzJ3+A\nZlV2Mv2yJ/j6Gxvz51udxjhbEybAlr/svH7lEJ85+QPEhKbzxlX3s2t3EGPHWp3G8CRTAE7j7bfh\nm29tTOs+ngYV/7Y6zr882HEe3esv4+HhDvbvtzqNUVq//w4zZij3tnuL3o1/sDrOv3Sr9ysPdZzL\nCy/AL79YncbwFHMJqAjx8dD8XAetK67m5zt6l3rlRW/5+3hdWryymssuD2PRYjGXgvxEfj60O89B\n6qGjbBl8PtGhGVZHKlJmXgRt5v0OFeqwabPdbL3pJ8wloDIaMULJyXIw/6ohPnvyB6gXu59JXZ/m\ny6+Ezz6zOo1RUs8+C5u32Hmp18M+e/IH15Por/YZyu49drNURDllCsApvv8ePv5YGHvxDBpXLnbL\nAssNv/Bl2tbYxEMPFpCaanUaozh79sDkSQ6ua/YlVzX91uo4xbqswS/c0upjpk1zsn271WkMdzMF\n4CQ5OTDkfgeNK+/hsYtesDpOiQTZHMz7z1COHLUxYYLVaYwzUYUHH3Bi11xm937M6jgl9uzl44iw\nZ3D/YKdZOrqcKVMBEJFKIvK9iOws/LfiaY5ziMjGwrfFZWnTk2bMgF277bzUewRhQblWxymx82ut\n597z3uall5xs3Wp1GuN0vvnGNbFgUtenqB0Tb3WcEqsWlcjU7hP46Wcbn3xidRrDncp0E1hEngGS\nVXWaiIwGKqrqqCKOy1DVqNK+vjdvAh86BE0aO+hT/0sW3HiHV9p0p8TMyjR+6Q86XRLJN9+agZ2v\nyc+HVi0K0JR9bBp8ASF2/1rQyeG00f61Xzke0pSt24LMDWEf5s2bwNcAbxe+/zZwbRlfzzLjxikF\n+Q6m9/DP6yhxkccY32Uq335n4+uvrU5jnOqll2D7ziCe7TnG707+4Fo1dNblo9i3P4hZs6xOY7hL\nWQtANVU9DFD4b9XTHBcmImtFZKWI+FyRWLcO3n5bGN7xZZ+c819SD3acR5Mqu3l4WAF5eVanMU5I\nSoJJEx30bPAj/2n8ndVxztql9ZdzbbOvmDrFLENSXhRbAETkBxHZXMTbNaVop27hkORm4HkRaXiG\n9gYVFou1iYmJpWji7KjCiIcdxEUd8/gGL54WYs9n1uWj2LEriDlzrE5jnDBhAqSnw6wrxvj9sxoz\nej5Bbo6Txx+3OonhDsUWAFXtoaoti3hbBBwVkRoAhf8mnOY14gv/3QP8DJx3hvbmqWoHVe0QFxd3\nFj9S6Xz+OSxbbmdy16fcsqm71fo0/p7ejb5n8iQHx45ZncbYsgXmzlUGt59Pi6rbrI5TZo0q7WFo\nx7m8+aaaHerKgbJeAloMnLhjegew6NQDRKSiiIQWvl8FuAj4q4ztukVuLjz2qIPmVbdzT7u3i/8G\nPzGj5+OkpwtTp1qdxBg9SokOzWBit/LzP+PxS2ZQOSKFkSPMtFB/V9YCMA3oKSI7gZ6FHyMiHUTk\n9cJjzgXWisgfwE/ANFX1iQIwbx7s3mNnZo+xPrXYW1m1qLqN29t8wJwXnWadIAv9+it8tUQY1ek5\nqkQkWx3HbWLDUhnfZSo//Wzj+++tTmOURcCuBZSRAQ0bFHBu5Cp+ur2P31+bPdW+43Vo8tJ6br09\nxKwYagFV6HKxg92bjrHrwTZe3eLRG3ILQmj68gaq1K/B6jV2bGbmsc8wawGVwOzZkJAYxNTuE8rd\nyR/gnNgDPNBhHm+9pfzlE+OtwPL11/DbCjvju0wrdyd/gNCgPCZd8hTr1tv59FOr0xhnKyBHAMnJ\n0KC+g0uqL2XxgP5uf31fkZRViQYvbuKyKyL5/ItyWOV8lNMJbds4yIo/wNYh7Qm2F1gdySMcThut\nX11JQYWGbPkriKAgqxMZYEYAxXrmGUhLF57q/qTVUTyqSkQyj174PF8sElautDpN4PjwQ9i02c6T\n3SaX25M/uB4Oe/rSSezYGcRbb1mdxjgbATcCOHwYGjZwcF3jT3m/771ufW1flJEXScMXN9Hy/Ir8\n348BWe+9Kj8fmjZxEJOzjfWDLvLp5cTdQRU6vfF/HNK27NwVRFiY1YkMMwI4g6eegvx8ZXK3KVZH\n8YqokExGd57Jjz/ZWLbM6jTl3zvvwN6/7Tx16aRyf/IHEIEp3Sdx8FAQc63f094opYAqAAcOwGuv\nObm77Ts0rLTX6jheM7jDG1SPTmTC+PIz1dUX5efD008W0KHWBr9e8qG0utdfxqX1lzN9WgHZ2Van\nMUojoArA1KmA0+H3Sz6UVnhwDqM7z+TnX+z89JPVacqv996DvfuCGN9lWrmcWXYmE7tO4chRMwrw\nNwFTAA4ehPmvO7mzzXvUrXDQ6jheN6j9W9SIOcqE8Q7z9KYH5OfDU5MLaFfjD65s4vs7fbnbJees\noHv9ZUyfVkBW+Zv1Wm4FTAGYNg2cTmfA9f5PCA/OYUznmSz/1c6PP1qdpvx5/33Y83cQE7pODbje\n/wkTu07haIIZBfiTgCgAhw7Ba/Ncvf9zYg9YHccy97Z/m1oVjphRgJsVFLh6/+fV+JOrmnxjdRzL\ndDnndy6r/7MZBfiRgCgAgd77PyEsKJexF83gtxV2fvjB6jTlxwcfwO69QYy/JPCu/Z9qYrepJCSa\nUYC/KPcFID4eXpvnYGDr96kXa1ZGu/u8d6gTG8/4J8xKju7g6v3n06b6Zq5pusTqOJa7uO5KejRw\njQIyM61OYxSn3BeA6dPB4dCA7/2fEBqUx9iLZrBylY3vAmemosd89BHs3B1sev8nmdh1ihkF+Ily\nXQAOH4Z5rzq4vdWH1K+4z+o4PuOu896lbuwhJk00o4CycDhcvf9W1f7i2mZfWR3HZ1xUdxU9G/7E\n9GkOMwrwceW6AEyf7pqeN+6SmVZH8Skh9vx/RgFLl1qdxn99/DFs3xnMhEumBsRTv6UxsesUEpPs\nZhTg48ptATh8GF6d6+D21h/49UbvnnLnee9RJzbejALOksMBT04qoGXVrVx37pdWx/E5neuspkeD\nn3lmusPMCPJhZSoAInKjiGwREaeInHbxIRHpJSLbRWSXiIwuS5slNWNGYe/fXPsv0olRwO8rza5O\nZ+OTT2DbDtfMH9P7L9qErlNJSDSjAF9W1hHAZqAvcNplxkTEDrwE9AaaAwNEpHkZ2z2jI0fglZed\n3Nb6w4Ba86e07mz7HrVjjzBpEmYUUAonev8tqm7j+ub/2gbbKHRx3ZVc1uAXMwrwYWUqAKq6VVW3\nF3NYR2CXqu5R1TzgI+CasrRbHFfvX03vvxgnZgStWIF5LqAUFi6ErduDeKLLdNP7L8aES6ZyNMHO\nvHlWJ/Ef27fDpk3eacsbe/jUAk5+/PYgcMHpDhaRQcAggLp165a6sdRUmDtXuaXHXzS67qZSf3+g\nuatzMFP+gIdGJ/JQlQVmKmMxnE54YeJdnNtYuWFwU7B75Yqm3+oCXLr5CNOnV4ML5xESZlakLc68\nEb3Yv7E+hw4J4eGebavYAiAiPwDVi/jSOFUtyfi3qFPKabtNqjoPmAeuDWFK8Pr/o0IFWL5cqFSp\nFdRrVdpvDzihwJgx8MADccz8cANRLczWYWeSuvpyDmwL48MPwd7DnPxLYsJM6NYNpr+YQpXL37c6\njk/LOdCEXT8NYcIEPH7yhxJcAlLVHqrasoi3kl78PAjUOenj2kD82YQtqXbtoF49T7ZQvtx9N1Sv\nWUDCovvNvYAzUKeQtHgITZo6uPFGq9P4j65doWs3J8nf3IMzL9TqOD4tYfEgIqMcDBvmnfa8MQ10\nDdBYROqLSAjQH1jshXaNEgoNhcfHBpG1ox2ZW097dS7gpa27jOyDDZkw3o7dbnUa/zJxgo28lCqk\n/HK91VF8Vs7BRqSt7cmwoXYqVvROm2WdBnqdiBwEOgFLROS7ws/XFJGvAVS1AHgQ+A7YCnyiqlvK\nFttwt7vvhmo1Ckj4wowCiqJO4diXQ2jcxEG/flan8T/dukGXSxwc+/oenHkhVsfxSQmL7yMiQhkx\nwnttlnUW0OeqWltVQ1W1mqpeUfj5eFXtc9JxX6tqE1VtqKpPlzW04X5hYSdGAe3J3NrR6jg+J219\nd7L2N2b8E6b3f7YmTbSTlxJHyjIzCjhVzqGGpK25nOHD7FSu7L12y+2TwEbp3XMPVK1h7gWc6sS1\n/4aNHPTvb3Ua/9WtG3S+uMCMAoqQuMj7vX8wBcA4SVgYPD4miKztHcjcdr7VcXxG2vruZO9vwsQJ\ndoK8MXG6nBKByRODyEuuSsqyvlbH8Rk5hxqQuuYKhg31bu8fTAEwTnHvvRBXzXUvwCjs/S96gIaN\nTe/fHbp3h04XFY4C8oOtjuMTEi249n+CKQDG//jnXsD288nYetrlnQJG2rrLyD7QmEmm9+8W/x0F\nVCNl+XVWx7FczqEGpK7uxdCH7FSp4v32TQEw/uXee6FKtQISFwX2KOBE779xU9P7d6fLLoMLOhVw\n7KtBAT8KSFx8H+HhysiR1rRvCoDxL+HhrnsBmds6krktcEcBaWt7kn2wEZMmmJk/7iQCT05yjQKO\nL7/W6jiWyYmvT+rqXgwbak3vH0wBME5j0KDCewGLBlsdxRL/PPXbzMFNZkkpt+vRAzpeWEDSkkE4\nCwLz2lri4sGW9v7BFADjNMLDYezoIDK3XkDm9vZWx/G6tDWXk32woen9e8g/9wKOVef4r4E3CsiJ\nr0/qKuuu/Z9gCoBxWvfdF5gzgtRpI2nxEJqda9b88aTLL4cOHR0c++q+gBsF+ELvH0wBMM4gPBzG\njDoxCmhndRyvSV19OdmHGjBpoun9e5LrXoCd3KTqHP/Vo1uE+JScA01IXeW69h8XZ20WUwCMM7rv\nPqhS1REwM4K0IIikLx6iRUsHN9xgdZry74or4PwTo4AAmRF09NOHiI5WHnvM6iSmABjFiIiAMaPs\nZPx1YUDcC0j59VpyjtRl2lQ7NvPX4XEi8PRTdnKTapD8U/m/2561sw3pG7sxepT3Vvw8E/MrbhRr\n8GCoXsPB0U9GlOs1gpy5YSQtGkKnzg7+8x+r0wSOnj3h0u5Ojn05GEd2pNVxPEYVjn46nLiq3lvv\nvzimABjFioiAJyfbydrdmvT13a2O4zHH/m8AeSlxPDPdbrbG9LLp02zkp8eS9O3tVkfxmIwtncjc\n1oHxT9iJ9JE6ZwqAUSIDB0Ljpg4SFj6MOsrfnVFHZgzHltxLnz5OLr7Y6jSB5/zz4frrleTv7qQg\nrZLVcdxOFRI/HU6dcxwMGmR1mv8yBcAokaAgmDHdTs7heqSUw6c3E78ZiCMriqlTzZ+EVaZMETQ/\nlITFPnSGdJO0NZeTtbc5T06yE+JDK2GXdUewG0Vki4g4ReS0awaIyN8isklENorI2rK0aVjn6qvh\nwk4OkhY9iDPXCztWe0l+SlVSlt7OgJuhdWur0wSuJk3g7ruE4z/3Iy+httVx3MaZF0LCwpG0bOXg\n1lutTvO/ytrd2Qz0BZaV4NhLVbWtqgbu4jJ+TgRmPGMnL6UKSUtvsTqO2xxdMAy7BPPUk+bCv9Um\nTBBCgm0cWegjd0nd4NgPt5CbUJNZz/necyVl3RJyq6pud1cYw/ddfDFcdZWSvGQQ+cctfIbdTbL2\ntOT4iqsZOcJG/fpWpzFq1YLRo2ykre5VLqYdF6RV4tiXg+nzHyc9elid5t+8dcFTgaUisk5EzniB\nT0QGichaEVmbmJjopXhGaTz7rIAjlKMLhlsdpUxU4cgHo4mrVsCYMVanMU549FGoWbuAIx+MRp3+\nfU8m4fMhaH4Yzz3rmz9HsalE5AcR2VzEW2me3b5IVdsBvYEHROSS0x2oqvNUtYOqdoiz+jlpo0iN\nG8PIETaO/3YNWbv896J56so+ZO1qw/SpQURHW53GOCEiAp6dEUT2vmZ+PeEg52AjUn65kfsHC02b\nWp2maMUWAFXtoaoti3hbVNJGVDW+8N8E4HOg49lHNnzBuHFQtXoBR94fizr979q5MzechAUjaXOe\ngzvusDqNcap+/aBTZweJnw7HkRVldZxSU4UjHz1KdLQycaLv/n14fFwiIpEiEn3ifeByXDePDT8W\nHe3qpWXtbeGXC3klfj2QvOSqvPiCWfLBF4nAi7PtFKTHkuiH00LT1vYgY3NnJk/y/kbvpVHWaaDX\nichBoBOwRES+K/x8TRH5uvCwasCvIvIHsBpYoqrflqVdwzfccgtccKGDhIUjcGT6zzWU3CN1Ofb1\nPdzUT+nSxeo0xum0b+96ADH5h9vIOdTA6jgl5siO4OiHY2nV2sEDD1id5szKOgvoc1WtraqhqlpN\nVa8o/Hy8qvYpfH+PqrYpfGuhqk+7I7hhPRF4+SVXL+3oZw9ZHadEVOHwO08QEWbn+Vm+OzQ3XKZP\nF2KihcNvTfSbS40Ji+4nLzmOV+faCfLxbQ7M4Ncok3bt4MEHIfnHfmTubGt1nGKl/n4lGX9dyPRp\ndmrUsDqNUZy4OHjuWTuZO88jZdn1VscpVvb+JiQvvY177lE6dbI6TfFMATDKbMoUoVZt5fCbk316\nTfeC9FgSPhrF+R0d3Hef1WmMkho4EC7p6iThk5E+/eyJFgRxeP7TVK4M06b5x2jFFACjzKKi4LVX\n7eTE1yfxq3utjnNa8e+Ow5kdw+uv+d4TmcbpicBr82zYHBHEvz3eZ5ckT/z6TrL2NWPeq7594/dk\npgAYbtG7N9x6q5L01b1k7WlhdZx/SV11BWmrezFpos2s9+OHmjSBqVNspG+41CdnneUcbETS4iHc\ndJOT666zOk3JmQJguM3s2UKNGkL8a9N9arG4/OOVOfLueDqc7/CJbfiMszN8OHS5xMnRD8aSl+Q7\nN3Cc+cHEvzaNirHCnDn+dUr1r7SGT6tYEd57x07ukboc/vARq+MAoE4bh16bhq0ginff8f1ZGcbp\n2Wzwzts2QmyhHHptqs/sS3H0kxFk7WvKW29av8l7aZkCYLjVpZfCI48IKT/fROrqy62OQ+KXg8jY\nciFzXrTRrJnVaYyyqlcP5r5iJ3N7e45+bv0k+7QN3Tj2/a0MHapceaXVaUrPFADD7Z56yvWAWPwb\nT1n6AE/GXx1J+OJ+brlVuftuy2IYbnbbbXDPPa77TWkbT7usmMflJdbi8PynadPWwTPP+Mesn1OZ\nAmC4XUgIfLrQTsWYEA7OmW3JWi55ibWIn/ssTZooc18Rs8dvOfPii0Kbtg4Ovzad3CN1vd6+IzuC\nAy/MIdweycIFdkJDvR7BLUwBMDyiVi34bKGd/MQ6HHxlBlrgvYvvjsxo9s96hXBbNIsX2Ynyv7XE\njGKEhcFnn9qJCg3nwKy5FKTHeq1tddo4+Op0cg834NOFdho18lrTbmcKgOExXbrA3FdspG+6mENv\nTvTK/G1nQRAHXnqOgsRz+OJzu88uw2uUXYMG8NWXdpzHa7H/hTk48zzfDVeFwx88RvrGbsx+weaT\nm7yUhikAhkfdcw88+SQc/+0ajn48wqNFwFkQxIGXZ5Lx14W8/pqNbt0815bhGzp3hg/et5G9uzUH\nXnoWZ57ndlxXhaMLhpP8wy2MGAFDhnisKa8xBcDwuHHjYMgQJenbOznywWMeWdTrxMk/ff1lvPgi\nZo3/AHL99fDKK0L6H13ZP3u2R0YCqpDwxf0kfX03992nzJxJubivZAqA4XEirpt2w4Ypx76/jUPz\nn3TrHG5HZgz7X5jzz8n/wQfd9tKGn7jvPpg/HzK3dGb/rJcpyIhx22trQRDxb04gcdEQBg5UXn65\n/EwqMAXA8AqbDWbNEiZPdl0O+nv6G+SnVC3z6+bG12fPkx+Ss60Tr79uTv6B7K674N13hdzdHdg7\n6ROy9zcp82sWpMeyb9bLpCy7gSeegDfekHK1gVBZN4SZISLbRORPEflcRIq8FS8ivURku4jsEpHR\nZWnT8F8i8MQT8O674DzYhj3jPyVtQ7ezui+gThvHvr+ZvZM/JqqgFj/9aDNz/Q1uuQWWL7NRMbga\nfz/1AUlLbznr0Wbahm7sfnwROTsu4I03YPLk8nHZ52SiZbgrJyKXAz+qaoGITAdQ1VGnHGMHdgA9\ngYPAGmCAqv5V3Ot36NBB165de9b5DN+1bRvceJODzZvsRLX4nWr9ZhJed0ex36cKmVsvIGHhMLL2\ntKJHTyfzX7dR1/tTwQ0fdvQoDBzo5NtvbYTX3U61fjOJbL6yRCfw7H3NSFx8H2nretCytYP33rHT\npo3nM7uLiKxT1Q4lOrYsBeCURq8DblDVW075fCdg4ondwkRkDICqTi3uNU0BKN/y8uCVV2DCJAep\nKXYiGm0ktvNiotosI7jS0X/+WNUp5CXUJWPTRaT8ciM5BxsRV9XB87PsDBhQ/nplhnuowuefw0ND\nHcQfshNWcy+xXRcQ3Xo5IdX2ITb957iC41XJ+Kuja8OgzRcRHePg0UfsjBrlerDRn1hVAL4EPlbV\n9075/A1AL1W9p/Dj24ALVLXYq7WmAASGlBR49VV4650Ctm91PTAWFJFJcPRxFCH/eCUcuWEAtGzl\nYMTDrhN/WJiVqQ1/kZ0NCxbAiy85WLvadTnIHpJLcGwyIk4KMiqQn+l6WrBmLQf3D7bz4IMQ671n\ny9zKrQVARH4AqhfxpXGquqjwmHFAB6CvnvKCInIjcMUpBaCjqha5iayIDAIGAdStW7f9vn37SvJz\nGOWAKvz5JyxfDjt2QFKSq3dftSo0bw7dukHjxlanNPzZrl3wyy+wZQskJLh+5ypWdO030Lmza4tT\nf7/JW5oCUOzz+ap6xmfdROQO4ErgslNP/oUOAnVO+rg2EH+G9uYB88A1Aigun1F+iECbNvjV9VbD\nvzRqhF8v3eBuZZ0F1AsYBVytqlmnOWwN0FhE6otICNAfWFyWdg3DMIyyK+tgZw4QDXwvIhtFZC6A\niNQUka8BVLUAeBD4DtgKfKKqW8rYrmEYhlFGZVqiUVWLHEypajzQ56SPvwa+LktbhmEYhnv5+e0O\nwzAM42yZAmAYhhGgTAEwDMMIUKYAGIZhBChTAAzDMAKU25aC8AQRSQQ88ShwFSDJA6/rLf6eH/z/\nZzD5refvP4On8p+jqnElOdCnC4CniMjakj4q7Yv8PT/4/89g8lvP338GX8hvLgEZhmEEKFMADMMw\nAlSgFoB5VgcoI3/PD/7/M5j81vP3n8Hy/AF5D8AwDMMI3BGAYRhGwAvIAiAiTxZuZL9RRJaKSE2r\nM5WWiMwQkW2FP8fnIuJX+xeJyI0iskVEnCLiNzM5RKSXiGwXkV0iMtrqPKUlIm+ISIKIbLY6y9kQ\nkToi8pOIbC38/RlmdabSEpEwEVktIn8U/gyTLMsSiJeARCRGVdMK3x8KNFfVwRbHKhURuRz4UVUL\nRGQ6gKqOsjhWiYnIuYATeBV4RFV9fu9PEbEDO4CeuDY6WgMMUNW/LA1WCiJyCZABvKOqLa3OU1oi\nUnRoXYoAAAJISURBVAOooarrRSQaWAdc62f/DwSIVNUMEQkGfgWGqepKb2cJyBHAiZN/oUjA76qg\nqi4t3GsBYCWundb8hqpuVdXtVucopY7ALlXdo6p5wEfANRZnKhVVXQYkW53jbKnqYVVdX/h+Oq49\nRmpZm6p01CWj8MPgwjdLzkEBWQAARORpETkA3AKMtzpPGd0FfGN1iABQCzhw0scH8bOTT3kiIvWA\n84BV1iYpPRGxi8hGIAH4XlUt+RnKbQEQkR9EZHMRb9cAqOo4Va0DvI9rxzKfU9zPUHjMOKAA18/h\nU0qS389IEZ/zu9FjeSAiUcCnwPBTRvR+QVUdqtoW18i9o4hYcjmuTDuC+bLiNrM/yQfAEmCCB+Oc\nleJ+BhG5A7gSuEx98GZOKf4f+IuDQJ2TPq4NxFuUJWAVXjf/FHhfVT+zOk9ZqOpxEfkZ6AV4/cZ8\nuR0BnImIND7pw6uBbVZlOVsi0gsYBVytqllW5wkQa4DGIlJfREKA/sBiizMFlMIbqPOBrar6nNV5\nzoaIxJ2YtSci4UAPLDoHBeosoE+BprhmoewDBqvqIWtTlY6I7AJCgWOFn1rpTzOZROQ64EUgDjgO\nbFTVK6xNVTwR6QM8D9iBN1T1aYsjlYqIfAh0w7US5VFggqrOtzRUKYjIxcByYBOuv1+AsYX7jvsF\nEWkNvI3rd8gGfKKqky3JEogFwDAMwwjQS0CGYRiGKQCGYRgByxQAwzCMAGUKgGEYRoAyBcAwDCNA\nmQJgGIYRoEwBMAzDCFCmABiGYQSo/wdi4631c+95UgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1faee89c048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 256\n",
    "X = np.linspace(-np.pi, np.pi, n, endpoint=True)\n",
    "Y = np.sin(2 * X)\n",
    "\n",
    "plt.plot(X, Y + 1, color='blue', alpha=1.00)\n",
    "plt.fill_between(X, 1, Y + 1)\n",
    "plt.plot(X, Y - 1, color='blue', alpha=1.00)\n",
    "plt.fill_between(X, -1, Y - 1, where=(Y - 1) > -1)\n",
    "plt.fill_between(X, -1, Y - 1, where=(Y - 1) < -1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([], <a list of 0 Text yticklabel objects>)"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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4MxhLD3xdicJHGkGqQsMNagB4skFEy961rMM1z0PPcTj5Gc6UfosuzGU9xHpQ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0tTjGY3BpgwSfjKxHlGvRL3996aDXW9HGGS8MXrZ9iVK7I7d2t8QWvNSwuTfPnGm8x3mnTiCKFh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2JYbUb0BoliUWZseI6W9komx2NkUnlqysxqudxWpibijA7NUt9UngW3EWxpr+TM6T4ikTRu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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1faee889198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 1024\n",
    "X = np.random.normal(0,1,n)\n",
    "Y = np.random.normal(0,1,n)\n",
    "T = np.arctan2(Y, X)\n",
    "\n",
    "plt.axes([0.025, 0.025, 0.95, 0.95])\n",
    "plt.scatter(X, Y, s=75, c=T, alpha=0.5)\n",
    "\n",
    "plt.xlim(-1.5, 1.5)\n",
    "plt.xticks(())\n",
    "plt.ylim(-1.5, 1.5)\n",
    "plt.yticks(())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1.25, 1.25)"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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BrLXHjTE960nXwRiTB5QDS621r3uZr7QSDS2G9tvf/rbO8+655x7uuecej/Ko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\nMBARERQMREQE+P+wTxF7GwG9AgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1faee9654a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 12\n",
    "X = np.arange(n)\n",
    "Y1 = (1 - X / float(n)) * np.random.uniform(0.5, 1.0, n)\n",
    "Y2 = (1 - X / float(n)) * np.random.uniform(0.5, 1.0, n)\n",
    "\n",
    "plt.bar(X, +Y1, facecolor='#9999ff', edgecolor='white')\n",
    "plt.bar(X, -Y2, facecolor='#ff9999', edgecolor='white')\n",
    "\n",
    "for x, y, y2 in zip(X, Y1, Y2):\n",
    "    plt.text(x + 0.4, y + 0.05, '%.2f' % y, ha='center', va='bottom')\n",
    "    plt.text(x + 0.4, -y2 - 0.05, '%.2f' % y2, ha='center', va='top')\n",
    "\n",
    "\n",
    "\n",
    "plt.ylim(-1.25, +1.25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<a list of 9 text.Text objects>"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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mT3bpl0EQICpKz1cbp7NxYyx19TITbjjAG2uL6cmHX4VC4t0XJhA3RMl1/80g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y7grwsWMCcpdj6BdofDrPF4WOfxsMnnY6e/m+pA9KDhBP2BaVf96wG1hghgHuXLItkGWXaDbIci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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1faeec454e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(x, y):\n",
    "    return (1 - x / 2 + x ** 5 + y ** 3) * np.exp(-x ** 2 -y ** 2)\n",
    "\n",
    "n = 256\n",
    "x = np.linspace(-3, 3, n)\n",
    "y = np.linspace(-3, 3, n)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "\n",
    "plt.axes([0.025, 0.025, 0.95, 0.95])\n",
    "\n",
    "plt.contourf(X, Y, f(X, Y), 8, alpha=.75, cmap='hot')\n",
    "C = plt.contour(X, Y, f(X, Y), 8, colors='black', linewidth=.5)\n",
    "\n",
    "plt.clabel(C, inline=1, fontsize=10)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x1faeff35a90>"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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xF3hryfxbgFt67dcB2swazbU4rNRIU/Nyqi7mlFuYLPRUsdwYkQMYPG1v9X/G\nJ0q63CA8JqGZWW1FdpDeunOANrNG8xW0mVlNuQ/azKyOqkujWxUO0GbWWMFo0uxWigO0mTVan496\n15ID9BpSdUrXwGMw5qRS+mqiDmlxNkr1HrW7FwdoM2s0B2gzsxrygypmZjXmAG1mVksBzoM2M6un\n9okaoCVtA/4IGAc+ERHXV9IqW3XOdrCmOCG7OCSNAzfQKU69H9gjaVdE3F9V48zMhtEZtXvtXkEP\nM6LKhcC+iHg4IuaAnXSGHjczq41OkM6/hiXpNEl3Snqo+P/UxHo/J+mrkh6QdL+kc3L7HSZAnwk8\n2jW9v5i3tEHbJe2VtHd29tgQhzMzW75RBGjgGuCuiNgK3FVMl7kN+FBEvJTORW7Z4LLPGyZAl3VS\n/sx3GhE7ImImImamp9cPcTgzs+UbUYC+DLi1+PpW4LVLV5B0HjAREXcW7ToSEUdzOx0mQO8Hzu6a\nPgt4fIj9mZlVLIho9XxV4EURcQCg+P+FJeu8BHha0hckfU/Sh4p7eUnDZHHsAbZKOhd4DLgceNMQ\n+zMzq9QyniTcLGlv1/SOiNjRvYKkrwFnlGz73j6bMwH8MnAB8CPgs8BVwE25DQYSEQuSrgbuoJNm\nd3NE3Jfb5qmnDh6+fecH/76Y3AwcHvT4FapDO+rQBqhHO+rQBqhHO+rQBli9dvx8FTvpM0AfjoiZ\nHvu5JLVM0kFJWyLigKQtlPct7we+FxEPF9t8CXgFKxGgiwbvBnYvY/3TF7+WtLfXCRmFOrSjDm2o\nSzvq0Ia6tKMObahTOwY1ojzoXcCVwPXF/18uWWcPcKqk0yPiH4B/DewtWe95w/RBm5nVXO8bhBUF\n8OuBSyU9ROfZkOsBJM1I+gRAdDq7fxe4S9IP6SRafDy3Uz/qbWaNFTGagv0R8QTwypL5e4G3dk3f\nCby83/2uZoDe0XuVkahDO+rQBqhHO+rQBqhHO+rQBqhPOwazhh/11lp+Tt3MLEdSjI/3vg5ttRbu\nrmM/u7s4zKzRTtRaHAOTtE3Sg5L2SUo9ErnSbXhE0g8l3bMk/3Glj3uzpEOS7u2a19dz/Cvchmsl\nPVacj3skvXol21Ac82xJXy/qEtwn6R3F/JGdj0wbRno+JK2T9P8kfb9ox38p5p8r6TvFufispKlV\naMMtkv6u61ycv1JtWAkjukm4IkbexVE8OfM3dFXBA64YdRU8SY8AMxEx0vxOSb8CHAFui4iXFfM+\nCDwZEde4gKQRAAADAklEQVQXH1inRsTvjbgN1wJHIuLDK3XcknZsAbZExHclnQTcTecR2asY0fnI\ntOGNjPB8qFPfdWNEHJE0CXwLeAfwLuALEbFT0p8A34+IG0fcht8G/jwiPrcSx11Jkr5CJ4+7l8MR\nsW2l27Ncq9HF8XwVPABJi1XwTogypRHxzZIKVpcBFxdf3wp8A1ixAJ1ow8gVj8QuPh77rKQH6BTc\nGtn5yLRhpKJzpXSkmJwsXkEnV3bxCd1bgWuBFQnQmTasWXUMusuxGl0cfVXBG4EAvirpbknbV+H4\n3fp5jn8Urpb0g6ILZEW7WZYqPjAuAL7DKp2PJW2AEZ8PSeOS7qHzFNqdwN8CT0fEQrHKiv+uLG1D\nRCyeiw8U5+JjkqZXsg32E6sRoPuqgjcCF0XELwKvAt5e/Nl/IrsReDFwPp0ryo+M6sCSNgGfB94Z\nEc+M6rg92jDy8xERrYg4n07hsQuBl5atNso2SHoZ8PvAPwX+BXAaK/jXnf201QjQtaiCFxGPF/8f\nAr5I5xditRws+kIX+0SzNWJXQkQcLH4523SebhrJ+Sj6Oj8PfCoivlDMHun5KGvDap2P4thP0+nW\neQXwAkmLXZEj+13pasO2iDgQHbPA/2R1f1dOKKsRoJ+vglfckb6cznPsIyNpY3FDCEkbgV8H7s1v\ntaIWn+OH9HP8K2oxIBZexwjOR3FT6ibggYj4aNeikZ2PVBtGfT4knS7pBcXX64FLgAeArwOvL1Zb\n6XNR1oa/7vqwFJ0bqKv5u3JCWZUHVYqUpf/GT6rgfWDEx/8ndK6aoXOj9NOjaoOkz9C5AbYZOAi8\nH/gScDvwc3TKEL4hIp4ccRsupvPnfACPAG9b7AdewXb8K+AvgR8Ci8mq76HTBzyS85FpwxWM8HxI\nejmdm4DjdC6cbo+I64r36k46XQvfA36zuJIdZRv+AjidTvfkPcBvR8SR9J6sKn6S0MysplzNzsys\nphygzcxqygHazKymHKDNzGrKAdrMrKYcoM3MasoB2sysphygzcxq6v8DyeGaXND7JZcAAAAASUVO\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1faed3b3cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(x, y):\n",
    "    return (1 - x / 2 + x ** 5 + y ** 3) * np.exp(-x ** 2 - y ** 2)\n",
    "\n",
    "n = 10\n",
    "x = np.linspace(-3, 3, 4 * n)\n",
    "y = np.linspace(-3, 3, 3 * n)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "plt.imshow(f(X, Y), interpolation='nearest', cmap='bone', origin='lower')\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([<matplotlib.patches.Wedge at 0x1faf00fbe80>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf0104ac8>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf010c748>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf01153c8>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf011f048>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf011fc88>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf0127908>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf012f588>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf0137208>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf0137e48>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf00ad588>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf014a6d8>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf0150358>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf0150f98>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf015bc18>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf00c2630>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf00ad9b0>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf00a0278>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf0094da0>,\n",
       "  <matplotlib.patches.Wedge at 0x1faf0162ba8>],\n",
       " [<matplotlib.text.Text at 0x1faf01045f8>,\n",
       "  <matplotlib.text.Text at 0x1faf010c278>,\n",
       "  <matplotlib.text.Text at 0x1faf010ceb8>,\n",
       "  <matplotlib.text.Text at 0x1faf0115b38>,\n",
       "  <matplotlib.text.Text at 0x1faf011f7b8>,\n",
       "  <matplotlib.text.Text at 0x1faf0127438>,\n",
       "  <matplotlib.text.Text at 0x1faf0127fd0>,\n",
       "  <matplotlib.text.Text at 0x1faf012fcf8>,\n",
       "  <matplotlib.text.Text at 0x1faf0137978>,\n",
       "  <matplotlib.text.Text at 0x1faf01405f8>,\n",
       "  <matplotlib.text.Text at 0x1faf014a240>,\n",
       "  <matplotlib.text.Text at 0x1faf014ae80>,\n",
       "  <matplotlib.text.Text at 0x1faf0150b00>,\n",
       "  <matplotlib.text.Text at 0x1faf015b780>,\n",
       "  <matplotlib.text.Text at 0x1faf00c8160>,\n",
       "  <matplotlib.text.Text at 0x1faf00b5a90>,\n",
       "  <matplotlib.text.Text at 0x1faf00a6198>,\n",
       "  <matplotlib.text.Text at 0x1faf0098ac8>,\n",
       "  <matplotlib.text.Text at 0x1faf0162710>,\n",
       "  <matplotlib.text.Text at 0x1faf016f390>])"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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yLYxtXhu8rJ2fju8yj+RsspjDXXbDXCG80ZmX+5DYQTiCJwtyBQDXtS/3Fig1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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1faf008a908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Z = np.random.uniform(0, 1, 20)\n",
    "plt.pie(Z)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([], <a list of 0 Text yticklabel objects>)"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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TppfRaCs+OpZzK/7C3b4kFVxS3q5z9c99TB0+hkKFCskZN1f0vrwAbG1tWbN8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\nongJgiAIqvN/uK5Zs9juBQ4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1faf047c668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 8\n",
    "X, Y = np.mgrid[0:n, 0:n]\n",
    "T = np.arctan2(Y - n / 2., X - n/2.)\n",
    "R = 10 + np.sqrt((Y - n / 2.0) ** 2 + (X - n / 2.0) ** 2)\n",
    "U, V = R * np.cos(T), R * np.sin(T)\n",
    "\n",
    "plt.axes([0.025, 0.025, 0.95, 0.95])\n",
    "plt.quiver(X, Y, U, V, R, alpha=.5)\n",
    "plt.quiver(X, Y, U, V, edgecolor='k', facecolor='None', linewidth=.5)\n",
    "\n",
    "plt.xlim(-1, n)\n",
    "plt.xticks(())\n",
    "plt.ylim(-1, n)\n",
    "plt.yticks(())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAa8AAAEmCAYAAADV1B8RAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1faeffb5c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes([0.025, 0.025, 0.95, 0.95])\n",
    "\n",
    "ax.set_xlim(0,4)\n",
    "ax.set_ylim(0,3)\n",
    "ax.xaxis.set_major_locator(plt.MultipleLocator(1.0))\n",
    "ax.xaxis.set_minor_locator(plt.MultipleLocator(0.1))\n",
    "ax.yaxis.set_major_locator(plt.MultipleLocator(1.0))\n",
    "ax.yaxis.set_minor_locator(plt.MultipleLocator(0.1))\n",
    "ax.grid(which='major', axis='x', linewidth=0.75, linestyle='-', color='0.75')\n",
    "ax.grid(which='minor', axis='x', linewidth=0.25, linestyle='-', color='0.75')\n",
    "ax.grid(which='major', axis='y', linewidth=0.75, linestyle='-', color='0.75')\n",
    "ax.grid(which='minor', axis='y', linewidth=0.25, linestyle='-', color='0.75')\n",
    "ax.set_xticklabels([])\n",
    "ax.set_yticklabels([])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
